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MakcuM [25]
2 years ago
6

Please any one help me ​

Mathematics
2 answers:
Ulleksa [173]2 years ago
3 0

\qquad\qquad\huge\underline{{\sf Answer}}♨

Since it's a Trapezoid with its non - parallel sides equal to one another,

\qquad \sf  \dashrightarrow \:\angle A + \angle P = 180

[ By forming co - interior angle pair ]

\qquad \sf  \dashrightarrow \:\angle A +100 = 180

\qquad \sf  \dashrightarrow \:\angle A = 180 - 100

\qquad \sf  \dashrightarrow \:\angle A = 80

Now, similarly,

\qquad \sf  \dashrightarrow \:\angle A + \angle R = 180

\qquad \sf  \dashrightarrow \: \angle R + 80 = 180

\qquad \sf  \dashrightarrow \: \angle R  = 100

Similarly,

\qquad \sf  \dashrightarrow \angle K + \angle R = 180

\qquad \sf  \dashrightarrow \angle K + 100 = 180

\qquad \sf  \dashrightarrow \angle K  = 80

wlad13 [49]2 years ago
3 0

Consecutive angles are supplementary

  • <A+100=180
  • <A=80°

Opposite angles are equal

  • <R=<P=100°

Opposite angles are equal again

  • <K=<A=80

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3x+4y-3z=4;5x-y+2z=3;x+2y-z=-2 Solving Systems in three variables​
Harlamova29_29 [7]

Answer:  x = 3, y = 1, z = 2

<u>Step-by-step explanation:</u>

EQ 1:   x  -   y  - z = 0

EQ 3:<u> -x + 2y + z =  1 </u>

                  y       = 1

EQ 2: 2x - 3y + 2z = 7  →  1(2x - 3y + 2z = 7)  →  2x - 3y + 2z = 7

EQ 3:  -x + 2y +  z = 1   → -2( -x + 2y +  z = 1)  → <u>-2x + 4y + 2z = 2</u>

                                                                                      y + 4z = 9

                                                                    y = 1  ⇒     1  + 4z = 9

                                                                                            4z = 8

                                                                                              z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

        x - (1) - (2) = 0

        x - 3 = 0

        x = 3

Check:

EQ 2: 2x - 3y + 2z = 7

         2(3) - 3(1) + 2(2) = 7

          6    -  3    +  4    = 7

                3        +  4    = 7

                               7   =  7   \checkmark

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